Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150cm |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
5626500000000 = 28 · 3 · 59 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4588,-36208] |
[a1,a2,a3,a4,a6] |
Generators |
[82:334:1] |
Generators of the group modulo torsion |
j |
683565019129/360096000 |
j-invariant |
L |
12.951380960268 |
L(r)(E,1)/r! |
Ω |
0.61532308055911 |
Real period |
R |
1.3155061716219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230d1 |
Quadratic twists by: 5 |